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A Gauss-Newton Method for the Identification of Nonlinear Heat Transfer Laws

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Optimal Control of Complex Structures

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 139))

Abstract

A fast and stable algorithm for efficient numerical identification of nonlinear heat transfer laws is introduced basing on a Gauss-Newton method. In this paper the theoretical background is investigated and numerical examples are discussed. The numerical experiences show that the algorithms proposed in the paper are suitable for problems having strongly perturbed data. Using stability estimates a posteriori estimates of the error are derived.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics, Chemnitz University of Technology, D-09107, Chemnitz, Germany

    Arnd Rösch

Authors
  1. Arnd Rösch
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Editors and Affiliations

  1. Fachbereich Mathematik, Arbeitsgruppe 10, Technische Universität Darmstadt, Schlossgartenstrasse 7, 64289, Darmstadt, Germany

    Günter Leugering

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© 2001 Springer Basel AG

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Rösch, A. (2001). A Gauss-Newton Method for the Identification of Nonlinear Heat Transfer Laws. In: Hoffmann, KH., Lasiecka, I., Leugering, G., Sprekels, J., Tröltzsch, F. (eds) Optimal Control of Complex Structures. ISNM International Series of Numerical Mathematics, vol 139. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8148-7_18

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  • DOI: https://doi.org/10.1007/978-3-0348-8148-7_18

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9456-2

  • Online ISBN: 978-3-0348-8148-7

  • eBook Packages: Springer Book Archive

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